Problem Wk.5.5.4: Analyzing the System
Read the handout for Homework Assignment 2.
Best Gain
Enter the best value you found for
you found for when = 0.005 seconds. Make
sure your answer is accurate to within 0.0001 of the theoretical best gain.
Best value of
when
= 0.005 seconds:
Enter the poles associated with these values of
and . If a pole appears times,
enter it into boxes. If there are more boxes than poles, enter "none" in the remaining
boxes.
Rationale
Use the following text box to answer these questions:
Why must the gain be positive?
How did you find the best gain?
Regions
Answer the following questions about how the behavior of the system depends on the
gain , when
If you used empirical methods, make sure your answer is
accurate to within 0.0001 of the theoretical best answer.
For what range of
is the system monotonically convergent?
For what range of
is the system oscillatory and convergent?
What is the lowest positive value of
=
for which the system is unstable?
Plots
Upload a single PDF containing plots of the following. Clearly label each plot with the
used to generate the plot.
value of
The best non-oscillatory response
An oscillatory but stable response
An oscillatory, unstable response
In the following textbox, answer these questions:
What happened when you increased/decreased
Why?
?
MIT OpenCourseWare
http://ocw.mit.edu
6.01SC Introduction to Electrical Engineering and Computer Science
Spring 2011
For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms.